Elementary Theory of Analytic Functions of One or Several Complex Variables

Elementary Theory of Analytic Functions of One or Several Complex Variables
Author: Henri Cartan
Publisher: Courier Corporation
Total Pages: 242
Release: 2013-04-22
Genre: Mathematics
ISBN: 0486318672

Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.

Function Theory of One Complex Variable

Function Theory of One Complex Variable
Author: Robert Everist Greene
Publisher: American Mathematical Soc.
Total Pages: 536
Release: 2006
Genre: Mathematics
ISBN: 9780821839621

Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples andexercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem,and the Bergman kernel. The authors also treat $Hp$ spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.

Theory of Functions, Parts I and II

Theory of Functions, Parts I and II
Author: Konrad Knopp
Publisher: Courier Corporation
Total Pages: 340
Release: 2013-07-24
Genre: Mathematics
ISBN: 0486318702

Handy one-volume edition. Part I considers general foundations of theory of functions; Part II stresses special and characteristic functions. Proofs given in detail. Introduction. Bibliographies.

Complex Function Theory

Complex Function Theory
Author: Donald Sarason
Publisher: American Mathematical Society
Total Pages: 177
Release: 2021-02-16
Genre: Mathematics
ISBN: 1470463237

Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund. Being designed for a one-semester course, it is much shorter than many of the standard texts. Sarason covers the basic material through Cauchy's theorem and applications, plus the Riemann mapping theorem. It is suitable for either an introductory graduate course or an undergraduate course for students with adequate preparation. The first edition was published with the title Notes on Complex Function Theory.

Theory of Complex Functions

Theory of Complex Functions
Author: Reinhold Remmert
Publisher: Springer Science & Business Media
Total Pages: 464
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461209390

A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations - in the original language with their English translation - from their classical works. Yet the book is far from being a mere history of function theory, and even experts will find a few new or long forgotten gems here. Destined to accompany students making their way into this classical area of mathematics, the book offers quick access to the essential results for exam preparation. Teachers and interested mathematicians in finance, industry and science will profit from reading this again and again, and will refer back to it with pleasure.

Function Theory of Several Complex Variables

Function Theory of Several Complex Variables
Author: Steven George Krantz
Publisher: American Mathematical Soc.
Total Pages: 586
Release: 2001
Genre: Mathematics
ISBN: 0821827243

Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.

Functions of a Complex Variable

Functions of a Complex Variable
Author: Hemant Kumar Pathak
Publisher: CRC Press
Total Pages: 740
Release: 2015-10-14
Genre: Mathematics
ISBN: 1498720161

Functions of a Complex Variable provides all the material for a course on the theory of functions of a complex variable at the senior undergraduate and beginning graduate level. Also suitable for self-study, the book covers every topic essential to training students in complex analysis. It also incorporates special topics to enhance students' under